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Finding the Fourth Proportional to 2,375.96, 3,277.46 and 1,381.12

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Solution

The fourth proportional to 2,375.96, 3,277.46 and 1,381.12 is: 1,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.96 : 3,277.46 = 1,381.12 : x
  2. Step 2: Convert to fraction form
    2,375.96/3,277.46 = 1,381.12/x
  3. Step 3: Cross multiply
    2,375.96x = 3,277.46 × 1,381.12
  4. Step 4: Simplify right side
    2,375.96x = 4,526,560.81
  5. Step 5: Solve for x
    x = 4,526,560.81/2,375.96
  6. Step 6: Final answer
    x = 1,905.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.